{"paper":{"title":"Time analyticity with higher norm estimates for the 2D Navier-Stokes equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Bingsheng Zhang, Ciprian Foias, Michael S. Jolly, Rishika Rupam, Ruomeng Lan, Yong Yang","submitted_at":"2013-12-03T20:49:10Z","abstract_excerpt":"This paper establishes bounds on norms of all orders for solutions on the global attractor of the 2D Navier-Stokes equations, complexified in time. Specifically, for periodic boundary conditions on $[0,L]^2$, and a force $g\\in\\calD(A^{\\frac{\\alpha-1}{2}})$, we show there is a fixed strip about the real time axis on which a uniform bound $|A^{\\alpha}u|< m_\\alpha\\nu\\kappa_0^\\alpha$ holds for each $\\alpha \\in \\bN$. Here $\\nu$ is viscosity, $\\k0=2\\pi/L$, and $m_\\alpha$ is explicitly given in terms of $g$ and $\\alpha$. We show that if any element in $\\calA$ is in $\\D(A^\\alpha)$, then all of $\\calA$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.0929","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}